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Finding the Fourth Proportional to 169,859.64, 254,795.22 and 45,200.76

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Solution

The fourth proportional to 169,859.64, 254,795.22 and 45,200.76 is: 67,802.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,859.64 : 254,795.22 = 45,200.76 : x
  2. Step 2: Convert to fraction form
    169,859.64/254,795.22 = 45,200.76/x
  3. Step 3: Cross multiply
    169,859.64x = 254,795.22 × 45,200.76
  4. Step 4: Simplify right side
    169,859.64x = 11,516,937,588.37
  5. Step 5: Solve for x
    x = 11,516,937,588.37/169,859.64
  6. Step 6: Final answer
    x = 67,802.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.